Directions (1-2): There are some horses, hens and elephants in a park. Ratio between number of heads in park to number of legs in park are 7 : 20.
Q1. Find the probability of choosing a hen over all the animals.
Q2. If probability of choosing 2 horses over all the animals are 9/119, then find the number of elephant present in park. (Number of horses is double than that of the number of elephants in park).
Directions (3-5): A article is mark up above cost price such that markup percent is double of the profit percent. If discount is 12.5%, then profit percent increased by 33⅓%.
Q3. On selling 20 such article at 12.5% discount, profit is Rs.300. Find the M.P. of each article.
Q4. If shopkeeper cheat his customer by giving 20% less quantity and reducing value of discount percentage by 20% then find the new profit percent.
Q5. Initially shopkeeper have 20 articles. Out of 20, 7 articles damaged and remains unsold. Marked Price should he labeled by how much percent more than cost price so that his overall profit does not change neither his discount percentage.
Directions (6-7): A, B, C and D start a business. Amount invested and time of investment of A, B, C and D are in G.P. with common ratio 3/2 and 3/4 respectively in prescribed sequence.
Q6. If A got 24,650 at the end as a manager apart from the business and by this he got Rs. 20,570 more than ‘C’ in total. Find the profit of ‘B’.
Q7. If D’s profit is Rs.7650 more than B’s profit, then find C’s profit.
(a) Rs. 36,500
(b) Rs. 32,400
(c) Rs. 16,500
(d) Rs. 48,000
(e) Rs. 21,200
Directions (8-9): A consignment should deliver on time to customer for which Mahendra start his journey with uniform speed, after 2 hours customer call Mahendra to deliver his order 1 hour before the decided time. Mahendra increased his speed by 50% to deliver it 1 hour before the decided time.
Q8. Find the total time taken by Mahendra to deliver the consignment?
(a) 4 hours
(b) 5 hours
(c) 6 hours
(d) 7 hours
(e) 3 hours
Q9. If initially, customer alto start moving toward Mahendra at speed of 60 km/hr and take his consignment after 3 hours then find the total distance between Mahendra and Customer initially.
(a) 256 km
(b) 150 km
(c) 500 km
(d) 450 km
(e) 300 km
Q10.A joker has three identical boxes having same number of balls but are of different colors. In each box ‘x’ balls are red, 7 balls are blue and ‘y’ balls are green. Find (x+y)?
A. Probability of choosing one ball which is either red or blue from any one of the box, is 3/4.
B. Number of ways to select two balls from any one of the box is 6.
C. Probability of choosing one ball which is either red or green from any one of the box is 9/16.
(a) Only statement ‘A’ alone is sufficient to answer the question
(b) Only statement ‘B’ alone is sufficient to answer the question
(c) Only statement ‘C’ alone is sufficient to answer the question
(d) Any of two statements are sufficient to answer the question
(e) Both A and C are required together